{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# What are `Periodogram` objects?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Lightkurve* has a class specifically for dealing with periodograms of time series data. This can be useful for finding the periods of variable stars. Below is a quick example of how to find the period of an [eclipsing binary star](https://en.wikipedia.org/wiki/Binary_star#Eclipsing_binaries).\n", "\n", "First, let's grab a light curve file from the Kepler data archive. We'll use the object named KIC 10264202, which is an eclipsing binary observed by the original Kepler mission. We're just going to use one quarter of data for this demo." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import search_lightcurve\n", "lc = search_lightcurve('KIC 10264202', quarter=10).download().remove_nans()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the light curve to see what we're working with." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "lc.scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This light curve looks like it has some structure in it! Let's use the periodogram class to find the rotation period. You can create a periodogram from the `KeplerLightCurve` object by using the `to_periodogram` method." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "pg = lc.to_periodogram(oversample_factor=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot the periodogram in the same way that we plot the original light curve." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pg.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks like there is a huge signal at a certain frequency! Let's plot it in period space, so that we can see what period the oscillation is occurring at." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pg.plot(view='period', scale='log');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks like a very fast period. We can access the full period and power data as follows:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$[93.401949,~46.700974,~31.133983,~\\dots,~0.040911936,~0.040894023,~0.040876126] \\; \\mathrm{d}$" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pg.period" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$[3.0812345,~4.0491002,~1.1168632,~\\dots,~0.38587616,~0.17210997,~0.42668004] \\; \\mathrm{\\frac{e^{-}}{s}}$" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pg.power" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case we simply want to know the period that corresponds to the highest peak in the periodogram. We can directly access this value using the convenient `period_at_max_power` property:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$0.25873116 \\; \\mathrm{d}$" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pg.period_at_max_power" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then use this period to fold our light curve:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(period=pg.period_at_max_power).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oops, the eclipses do not line up nicely. This does not look like the correct period of this eclipsing binary!\n", "\n", "As is quite common for eclipsing binaries with deep secondary eclipses, we have found a harmonic of the period of the eclipsing binary. Let's plot it again with quadruple the period." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(period=4*pg.period_at_max_power, wrap_phase=0.2).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks better, but the eclipses still don't seem to line up as well as they could.\n", "\n", "Let's try to get a more precise period by increasing the number of points in our periodogram using the `oversample_factor` parameter and by constraining the range of the period value:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$1.0350972 \\; \\mathrm{d}$" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import astropy.units as u\n", "pg = lc.to_periodogram(minimum_period=0.9*u.day, maximum_period=1.2*u.day, oversample_factor=10)\n", "pg.period_at_max_power" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.fold(period=pg.period_at_max_power, wrap_phase=0.2).scatter();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This has improved our fit. It looks like this eclipsing binary has a period of approximately 1 day." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.2" } }, "nbformat": 4, "nbformat_minor": 2 }